├── .github └── workflows │ └── build-deploy-book.yml ├── .gitignore ├── AUTHORS ├── Makefile ├── README.md ├── _config.yml ├── _toc.yml ├── chapter0 ├── bezier-curves.md ├── bezier.md ├── bsplines-curves.md ├── bsplines-operations.md ├── bsplines-surfaces.md ├── bsplines.md ├── bsplines_utilities.py ├── cad.md ├── data-structure.md ├── fem.md ├── howto.md ├── iga.md ├── images │ ├── algorithms │ │ ├── contribution_arity1_1d_ex1.png │ │ ├── contribution_arity1_1d_ex2.png │ │ ├── contribution_arity1_2d_ex1.png │ │ ├── contribution_arity1_2d_ex2.png │ │ ├── contribution_arity2_1d_ex1.png │ │ ├── contribution_arity2_1d_ex2.png │ │ ├── contribution_arity2_2d_ex1.png │ │ ├── contribution_arity2_2d_ex2.png │ │ ├── eval_field_1d.png │ │ ├── eval_field_2d.png │ │ ├── kernel_arity1_1d.png │ │ ├── kernel_arity1_2d.png │ │ ├── kernel_arity2_1d.png │ │ └── kernel_arity2_2d.png │ ├── bezier │ │ ├── output_16_0.png │ │ ├── output_17_0.png │ │ ├── output_18_0.png │ │ ├── output_19_0.png │ │ ├── output_20_0.png │ │ ├── output_22_0.png │ │ └── output_25_0.png │ ├── bsplines-curves │ │ ├── output_10_0.png │ │ ├── output_11_0.png │ │ ├── output_15_0.png │ │ ├── output_17_0.png │ │ ├── output_19_0.png │ │ ├── output_21_0.png │ │ ├── output_23_0.png │ │ ├── output_5_0.png │ │ ├── output_6_0.png │ │ ├── output_7_0.png │ │ ├── output_8_0.png │ │ └── output_9_0.png │ ├── bsplines-operations │ │ ├── output_10_0.png │ │ ├── output_11_0.png │ │ ├── output_13_0.png │ │ ├── output_14_0.png │ │ ├── output_18_0.png │ │ ├── output_21_0.png │ │ ├── output_22_0.png │ │ ├── output_23_0.png │ │ ├── output_24_0.png │ │ ├── output_27_0.png │ │ ├── output_30_0.png │ │ ├── output_33_0.png │ │ └── output_9_0.png │ ├── bsplines-surfaces │ │ ├── output_12_0.png │ │ ├── output_5_0.png │ │ └── output_9_0.png │ ├── bsplines │ │ ├── output_11_1.png │ │ ├── output_13_1.png │ │ ├── output_15_1.png │ │ ├── output_17_1.png │ │ ├── output_19_1.png │ │ ├── output_21_1.png │ │ ├── output_30_0.png │ │ ├── output_31_0.png │ │ ├── output_33_0.png │ │ ├── output_34_0.png │ │ ├── output_36_0.png │ │ ├── output_37_0.png │ │ ├── output_39_0.png │ │ ├── output_40_0.png │ │ ├── output_5_1.png │ │ ├── output_7_1.png │ │ └── output_9_1.png │ ├── data-structure │ │ └── output_24_1.png │ ├── poisson-1d │ │ ├── output_20_0.png │ │ └── output_23_1.png │ └── poisson-2d │ │ └── output_20_1.png ├── performance-acceleration.md ├── poisson-1d.md └── poisson-2d.md ├── chapter1 ├── analytical-mapping.md ├── boundary-conditions.md ├── discrete-mapping.md ├── geometry.md ├── images │ ├── boundary-conditions │ │ ├── line-boundaries.png │ │ └── square-boundaries.png │ ├── ch1-jupyter-poisson-1.png │ ├── ch1-jupyter-poisson-2.png │ ├── ch1-jupyter-root.png │ └── geometry │ │ └── element.png ├── install.md ├── poisson.ipynb ├── rules.md ├── space.md ├── sympde.md └── topology.md ├── chapter2 ├── advection-diffusion-stabilized.ipynb ├── advection-diffusion.ipynb ├── biharmonic.ipynb ├── elliptic-curl.ipynb ├── elliptic-div.ipynb ├── elliptic-general-form.ipynb ├── linear-elasticity.ipynb ├── poisson-mixed-v1.ipynb ├── poisson-mixed-v2.ipynb ├── poisson-mixed.ipynb ├── poisson-nitsche.ipynb ├── poisson.ipynb ├── stokes-v1.ipynb ├── stokes-v2.ipynb ├── stokes.ipynb └── vector-poisson.ipynb ├── chapter3 ├── burgers.md ├── navier-stokes-steady-streamfunction-velocity.md ├── navier-stokes-steady.md └── poisson.md ├── chapter4 ├── poisson-multi-subdomains-nitsche.ipynb ├── poisson-two-subdomains-nitsche.ipynb └── subdomains.md ├── chapter5 ├── cfd.md ├── cfd │ ├── bingham_plastic_flow_in_a_pipe.ipynb │ ├── buoyancy-driven_natural_convection.ipynb │ ├── casson_fluid_flow_in_a_channel.ipynb │ ├── compressible_flow_in_a_nozzle.ipynb │ ├── convection-diffusion_equation_in_a_channel.ipynb │ ├── cross_power_law_fluid_flow_in_a_channel.ipynb │ ├── free_surface_flow.ipynb │ ├── heat_conduction_in_a_solid.ipynb │ ├── herschel-bulkley_fluid_flow_in_a_pipe.ipynb │ ├── incompressible_flow_past_a_cylinder.ipynb │ ├── magnetohydrodynamics_flow.ipynb │ ├── non-newtonian-fluids.md │ ├── oldroyd-b_fluid_flow_in_a_channel.ipynb │ ├── papanastasiou_fluid_flow_in_a_channel.ipynb │ ├── particle-laden_flow.ipynb │ ├── power_law_fluid_flow_in_a_channel.ipynb │ ├── stokes_flow_in_a_lid-driven_cavity.ipynb │ └── two-phase_flow.ipynb ├── electromagnetics.md ├── fsi.md ├── fsi │ ├── fluid-structure_interaction_in_a_flexible_channel.ipynb │ ├── flutter_analysis_of_a_flexible_wing_in_fluid_flow.ipynb │ └── two-way_fluid-structure_interaction_in_a_tube.ipynb ├── material-science.md ├── material-science │ ├── additive-manifacturing.md │ ├── composite-materials-analysis.md │ ├── composite-materials.md │ ├── composite_beam_analysis.ipynb │ ├── composite_materials_with_piezoelectric_fibers.ipynb │ ├── composite_materials_with_thermal_expansion.ipynb │ ├── composite_pressure_vessel_analysis.ipynb │ ├── composite_shaft_analysis.ipynb │ ├── composite_shell_structures.ipynb │ ├── creep_in_viscoelastic_materials.ipynb │ ├── diffusion_and_reaction_in_porous_media.ipynb │ ├── elasticity_with_thermal_expansion.ipynb │ ├── fiber-reinforced_composite_materials.ipynb │ ├── fluid_flow_simulation_in_directed_energy_deposition.ipynb │ ├── heat_conduction_with_phase_change.ipynb │ ├── homogenization_of_composite_structures.ipynb │ ├── laminate_plate_bending.ipynb │ ├── multi-material_simulation_in_material_jetting.ipynb │ ├── piezoelectric_material.ipynb │ ├── residual_stress_simulation_in_selective_laser_melting.ipynb │ ├── structural_simulation_in_fused_filament_fabrication.ipynb │ ├── thermal_conductivity_of_composite_materials.ipynb │ └── thermal_simulation_in_powder_bed_fusion.ipynb ├── mhd.md ├── mhd │ ├── astrophysical_dynamo_in_a_stellar_interior.ipynb │ ├── ferrofluid_damper_in_mechanical_system.ipynb │ ├── ferrofluid_flow_in_a_microfluidic_device.ipynb │ ├── magnetic_fluid_actuator_in_valve_control.ipynb │ ├── magnetic_targeting_in_a_blood_vessel.ipynb │ ├── magnetic_targeting_in_the_eye_for_retinal_diseases.ipynb │ ├── magnetic_targeting_in_tumor_tissue.ipynb │ ├── mhd-astrophysics.md │ ├── mhd-drug-targeting.md │ ├── mhd-dynamo.md │ ├── mhd-fluid-dynamics.md │ ├── mhd-fusion.md │ ├── mhd-heat-transfer.md │ ├── mhd-material-processing.md │ ├── mhd-stability-analysis.md │ ├── mhd-turbulence.md │ ├── mhd_accretion_disk_in_binary_star_system.ipynb │ ├── mhd_aluminum_electromagnetic_stirring.ipynb │ ├── mhd_continuous_casting_of_steel.ipynb │ ├── mhd_dynamo_in_a_rotating_sphere.ipynb │ ├── mhd_heat_transfer_in_a_cylindrical_fusion_reactor.ipynb │ ├── mhd_heat_transfer_in_a_magma_convection_model.ipynb │ ├── mhd_heat_transfer_in_a_rectangular_domain.ipynb │ ├── mhd_kelvin-helmholtz_instability_in_magnetized_flows.ipynb │ ├── mhd_metal_solidification_in_magnetic_field.ipynb │ ├── mhd_rayleigh-taylor_instability_in_a_conducting_fluid.ipynb │ ├── mhd_solar_wind_simulation.ipynb │ ├── mhd_stability_of_a_current-carrying_plasma_column.ipynb │ ├── 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